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8_murik_8 [283]
4 years ago
14

Find the surface area for the composite solid, round your answer to the nearest tenth. Explain your answer. ​

Mathematics
1 answer:
dezoksy [38]4 years ago
7 0

Answer:

  200.3 in²

Step-by-step explanation:

The area of the top of the cylinder is precisely the area of the cube that the cylinder covers. In other words, the total of that area and the visible area of the cube is precisely equal to the area of the cube with no added parts.

So, the added cylinder only increases the total area by the area of its curved surface. That area is the product of its circumference and height.

  cylinder lateral area: π·d·h = π·(4 in)(4 in) = 16π in² ≈ 50.3 in²

  cube surface area: 6·(5 in)² = 150 in²

__

total surface area = cube surface area + cylinder lateral area

total surface area = (150 +50.3) in²

total surface area =200.3 in²

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Find the area of the given quadrilateral.<br> Pls :)
Tasya [4]

I think your teacher may have made a typo. Refer to the diagram below. If we ignore segment ZA for now, we can see a rectangle forms with angle W = angle Y = 90. Also, we can see that WX = 6 is the horizontal base and WZ = 8 is the vertical height.

However, the side opposite WZ (which is XY) should also be 8 cm tall, and not 6 cm. If XY was 6 cm, then point Y would move to where point A is located (and the quadrilateral would be WXAZ instead of WXYZ). This new quadrilateral would not have a 90 degree angle at point Y's new location.

In other words, if we want angle Y to be 90 degrees, then side XY must be 8 units long. I have a feeling this is where the typo is, but your teacher might have been intending to say something else.

7 0
3 years ago
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Solve x2 + 2x + 9 = 0. (2 points) x equals negative 2 plus or minus 4 I square root of 2 x equals negative 2 plus or minus 2 I s
vazorg [7]

Answer:

try the answer C

Step-by-step explanation:

4 0
3 years ago
Calculate gcd(77, 30) by using the Euclidean algorithm. Find also integers u and v such that 49u + 30v = 1. Furthermore, find su
VladimirAG [237]

Answer:

1. gcd(77,30)=1

77=2*30+17\\30=1*17+13\\17=1*13+4\\13=3*4+1\\4=4*1+0

Since 1 is the last non zero remainder appearing in these equations then, 1 is the gcd of 77 and 30.

2. u=-11, v=18

Using the Euclidean Algorithm we have that

49=1*30+19\\30=1*19+11\\19=1*11+8\\11=1*8+3\\8=2*3+2\\3=1*2+1\\2=1*2+0

Now, we express the remainder as linear combinations of 49 and 30.

1&=3-2\\ &=3-(8-2*3)=3-8+2*3\\&=(11-8)-8+2(11-8)=3*11-4*8\\&=3*11-4(19-11)=7*11-4*19\\&=7(30-19)-4*19=7*30-11*19\\&=7*30-11(49-30)=\\&=18*30-11*49

Then 1=(-11)49+18*30

3. x=18

If 30x\equiv 1\text{mod 77} then

30x=k*77+1 for some k\in \mathbb{Z}.

Then, if k=7,

30x=7*77+1=540\\x=\frac{540}{30}=18

6 0
3 years ago
AB and CD intersect at point E if measure angle AED equals 6x-24 and measure angle CEB equals 4y+32 find the values of x and y s
Zolol [24]

The values of x and y such that AB is perpendicular to CD will be 19 and 14.5.

<h3>What is an angle?</h3>

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

AB and CD intersect at point E.

If measure angle AED equals 6x – 24 and measure angle CEB equals 4y + 32.

Then the values of x and y such that AB is perpendicular to CD will be

6x – 24 = 90

        6x = 114

          x = 19

Then we have

4y + 32 = 90

       4y = 58

         y = 14.5

More about the angled link is given below.

brainly.com/question/15767203

#SPJ1

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I think that the answer is $92
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